Commenced in January 2007
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Pseudo-polynomial Motion Commands for Vibration Suppression of Belt-driven Rotary Platforms

Authors: Giovanni Incerti

Abstract:

The motion planning technique described in this paper has been developed to eliminate or reduce the residual vibrations of belt-driven rotary platforms, while maintaining unchanged the motion time and the total angular displacement of the platform. The proposed approach is based on a suitable choice of the motion command given to the servomotor that drives the mechanical device; this command is defined by some numerical coefficients which determine the shape of the displacement, velocity and acceleration profiles. Using a numerical optimization technique, these coefficients can be changed without altering the continuity conditions imposed on the displacement and its time derivatives at the initial and final time instants. The proposed technique can be easily and quickly implemented on an actual device, since it requires only a simple modification of the motion command profile mapped in the memory of the electronic motion controller.

Keywords: Command shaping, residual vibrations, belt transmission, servomechanism.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1083643

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References:


[1] Meirovich L., Fundamentals of Vibrations, McGraw-Hill Higher Education, 2001.
[2] Norton R.L., Cam design and manufacturing handbook, Industrial Press Inc., 2002.
[3] Rao S.S., Engineering Optimization - Theory and Practice, Wiley, New York, 1996.
[4] Singer N.C., Seering W.P., Preshaping command inputs to reduce system vibration, Journal of Dynamic Systems, Measurement, and Control, 112, 76-82, 1990.
[5] Singh T., Heppler G.R., Shaped input control of a system with multiple modes, Journal of Dynamic Systems, Measurement, and Control, 115, 341-347, 1993.
[6] Hyde J.M. and Seering W.P., Using input command pre-shaping to suppress multiple mode vibration, Proceedings of the IEEE Conference on Robotics and Automation, Sacramento, CA, April 1991.
[7] Singhose W.E., Crain E.A. and Seering W.P., Convolved and simultaneous two-mode input shapers, IEEE Proceedings Control Theory and Applications 144 (6), 515-520, 1997.
[8] Kapucu S., G┬¿ursel A., Baysec┬© S., Residual swing/vibration reduction using a hybrid input shaping method, Mechanism and Machine Theory, 36, 311-326, 2001.
[9] Agostini M.J., Parker G.G., Command Shaping Nonlinear Inputs Using Basis Functions, Journal of Intelligent Material Systems and Structures, 13, 181-190, 2002.
[10] Chen K.S., Yang T.S., Ou K.S., Yin J.F., Design of command shapers for residual vibration suppression in Duffing nonlinear systems, Mechatronics, 19, 184198 , 2009.
[11] Park K.J., Flexible robot manipulator path design to reduce the endpoint residual vibration under torque constraints, Journal of Sound and Vibration, 275, 10511068, 2004.
[12] Pelaez G., Pelaez Gu., Perez J.M., Vizan A., Bautista E., Input shaping reference commands for trajectory following Cartesian machines, Control Engineering Practice, 13, 941958, 2005.
[13] Mimmi G., Pennacchi P., Pre-shaping motion input for a rotating flexible link, International Journal of Solids and Structures, 38, 2009-2023, 2001.
[14] Dharne A.G., Jayasuriya S., Robust Adaptive Control of Residual Vibration in Point-to-Point Motion of Flexible Bodies, Journal of Vibration and Control, 13, 951-968, 2007.
[15] G¨urley¨uk S.S., Cinal S., Robust Three-impulse Sequence Input Shaper Design, Journal of Vibration and Control, 13, 1807-1818, 2007.